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Finding the Fourth Proportional to 3,798.05, 5,687.13 and 3,053.71

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Solution

The fourth proportional to 3,798.05, 5,687.13 and 3,053.71 is: 4,572.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,798.05 : 5,687.13 = 3,053.71 : x
  2. Step 2: Convert to fraction form
    3,798.05/5,687.13 = 3,053.71/x
  3. Step 3: Cross multiply
    3,798.05x = 5,687.13 × 3,053.71
  4. Step 4: Simplify right side
    3,798.05x = 17,366,817.32
  5. Step 5: Solve for x
    x = 17,366,817.32/3,798.05
  6. Step 6: Final answer
    x = 4,572.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.